Nondivergence elliptic and parabolic problems with irregular obstacles
Analysis of PDEs
2017-03-21 v1
Abstract
We prove the natural weighted Calder\'{o}n and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian of the solutions and H\"{o}lder continuity of the gradient of the solutions.
Keywords
Cite
@article{arxiv.1703.06583,
title = {Nondivergence elliptic and parabolic problems with irregular obstacles},
author = {Sun-Sig Byun and Ki-Ahm Lee and Jehan Oh and Jinwan Park},
journal= {arXiv preprint arXiv:1703.06583},
year = {2017}
}
Comments
18 pages